Find the probability of having 2,3, or 4 successes in five trials of a binomial
experiment in which the probability of
success is 40%.
Round to the nearest tenth of a
percent.
[ ?

65.28%

Step-by-step explanation:

The computation of the probability is shown below:

Given that

P(2,3, OR 4)

based on the above information

= 5C_2(0.4)^2 × (0.6)^3 + 5C_3(0.4)^3 × (0.6)^3 + 5C_4(0.4)^4 × (0.6)^1

= .3465 + .2304 + .0768

= .6528

= 65.28%

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".